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Finding the Fourth Proportional to 600,502, 828,719.04 and 332,230

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Solution

The fourth proportional to 600,502, 828,719.04 and 332,230 is: 458,491.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,502 : 828,719.04 = 332,230 : x
  2. Step 2: Convert to fraction form
    600,502/828,719.04 = 332,230/x
  3. Step 3: Cross multiply
    600,502x = 828,719.04 × 332,230
  4. Step 4: Simplify right side
    600,502x = 275,325,326,659.20
  5. Step 5: Solve for x
    x = 275,325,326,659.20/600,502
  6. Step 6: Final answer
    x = 458,491.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.